11285582000 has 720 divisors, whose sum is σ = 37808428320. Its totient is φ = 3217536000.

The previous prime is 11285581999. The next prime is 11285582027. The reversal of 11285582000 is 28558211.

It is a happy number.

It is a super-2 number, since 2×11285582000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 389157986 + ... + 389158014.

It is an arithmetic number, because the mean of its divisors is an integer number (52511706).

Almost surely, 2^11285582000 is an apocalyptic number.

11285582000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11285582000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18904214160).

11285582000 is an abundant number, since it is smaller than the sum of its proper divisors (26522846320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11285582000 is a wasteful number, since it uses less digits than its factorization.

11285582000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 32.

The spelling of 11285582000 in words is "eleven billion, two hundred eighty-five million, five hundred eighty-two thousand".